# Difference between revisions of "Origin"

(section) |
m (minor fomatting) |
||

Line 1: | Line 1: | ||

− | + | The '''origin''' of a [[coordinate]] system is the [[center]] point or [[zero]] point where the [[axe]]s meet. | |

− | + | ==In Euclidean Systems== | |

− | |||

− | ==Euclidean== | ||

In the Euclidean [[plane]] <math>\mathbb{R}^2</math>, the origin is <math>(0,0)</math>. Similarly, in the Euclidean [[space]] <math>\mathbb{R}^3</math>, the origin is <math>(0,0,0)</math>. This way, in general, the origin of an <math>n</math>-dimensional Euclidean space <math>\mathbb{R}^n</math> is the <math>n</math>-tuple <math>(0,0,\ldots,0)</math> with all its <math>n</math> components equal to zero. | In the Euclidean [[plane]] <math>\mathbb{R}^2</math>, the origin is <math>(0,0)</math>. Similarly, in the Euclidean [[space]] <math>\mathbb{R}^3</math>, the origin is <math>(0,0,0)</math>. This way, in general, the origin of an <math>n</math>-dimensional Euclidean space <math>\mathbb{R}^n</math> is the <math>n</math>-tuple <math>(0,0,\ldots,0)</math> with all its <math>n</math> components equal to zero. | ||

Thus, the origin of any coordinate system is the point where all of its components are equal to zero. | Thus, the origin of any coordinate system is the point where all of its components are equal to zero. | ||

+ | {{stub}} | ||

[[Category:Definition]] | [[Category:Definition]] | ||

[[Category:Geometry]] | [[Category:Geometry]] |

## Latest revision as of 19:12, 15 November 2007

The **origin** of a coordinate system is the center point or zero point where the axes meet.

## In Euclidean Systems

In the Euclidean plane , the origin is . Similarly, in the Euclidean space , the origin is . This way, in general, the origin of an -dimensional Euclidean space is the -tuple with all its components equal to zero.

Thus, the origin of any coordinate system is the point where all of its components are equal to zero.

*This article is a stub. Help us out by expanding it.*